What is the Least Common Multiple of 94883 and 94888?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 94883 and 94888 is 9003258104.
LCM(94883,94888) = 9003258104
Least Common Multiple of 94883 and 94888 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94883 and 94888, than apply into the LCM equation.
GCF(94883,94888) = 1
LCM(94883,94888) = ( 94883 × 94888) / 1
LCM(94883,94888) = 9003258104 / 1
LCM(94883,94888) = 9003258104
Least Common Multiple (LCM) of 94883 and 94888 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94883 and 94888. First we will calculate the prime factors of 94883 and 94888.
Prime Factorization of 94883
Prime factors of 94883 are 239, 397. Prime factorization of 94883 in exponential form is:
94883 = 2391 × 3971
Prime Factorization of 94888
Prime factors of 94888 are 2, 29, 409. Prime factorization of 94888 in exponential form is:
94888 = 23 × 291 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 94883 and 94888.
LCM(94883,94888) = 2391 × 3971 × 23 × 291 × 4091
LCM(94883,94888) = 9003258104
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